离心调速器系统的混沌及控制

Chaos and control of centrifugal governor system

根据拉格朗日方程建立离心调速器系统的动力学方程,研究其受外部扰动系统的复杂动力学行为,并利用系统的相图和Poincaré映射图分析系统的混沌形成过程。通过对离心调速器反馈控制系统分别增加一个线性和非线性反馈控制器,利用它们控制系统从混沌运动转化为周期运动。数值仿真表明这两种控制方法在离心调速器系统的混沌控制中的有效性与可行性,可利用适当的控制强度镇定系统中不稳定的周期轨道。

The dynamics equation of centrifugal governor system was established according to Lagrangion equations, the system＇ s complex dynamics behaviors that accepted the exterior disturbance was studied and the chaos forming process of system was analyzed by the use of system＇ s phase portrait and of Poincare mapping graph Through adding separately of a linear and a nonlinear feedback governor on the feedback system of the centrifugal governor, by the use of them, the system was controlled to be transformed from the chaos motion into the periodical motion. The numerical valued simulation showed the effectiveness and feasibility of these two kinds of controlling methods for chaos control of the centrifugal governor system. An appropriate controlling intensity can be utilized to assuage the unstable periodical track in the system.